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3 years ago

Which of the following is equal to 5 4/9? 5.49 5.25 7.25 5.4

Mathematics

2 answers:

Natalija [7]3 years ago

7 0

Answer:

5.4

Step-by-step explanation:

4/9 is .44444444

So 5 4/9 is 5.4

viktelen [127]3 years ago

4 0

5.4 because it is the CLISEST to 5 4/9

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How to do -7x-3x+2=8x-8

zavuch27 [327]

If you would like to solve the equation - 7 * x - 3 * x + 2 = 8 * x - 8, you can calculate this using the following steps:

- 7 * x - 3 * x + 2 = 8 * x - 8
- 7 * x - 3 * x - 8 * x = - 8 - 2
- 18 * x = - 10 /(-18)
x = 10 / 18
x = 5/9

The correct result would be 5/9.

7 0

3 years ago

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Is (p3)4 • p8 = p20 true or false ?

Oduvanchick [21]

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8 0

3 years ago

g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a

galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0

3 years ago

Can someone help me fast please!!!!

allochka39001 [22]

Answer:

Step-by-step explanation:

121=irrational

100= rational

99= irrational

10=rational

8 0

3 years ago

How to solve this ? I am not sure pls if you know the answer answer it I really neeed it for marks

xz_007 [3.2K]

Answer:

L.S = R.S ⇒ Proved down

Step-by-step explanation:

Let us revise some rules in trigonometry

sin²α + cos²α = 1
sin2α = 2 sin α cosα
cscα = 1/sinα

To solve the question let us find the simplest form of the right side and the left side, then show that they are equal

∵ L.S = csc2α + 1

→ By using the 3rd rule above

∴ L.S = $\frac{1}{sin2\alpha}$ + 1

→ Change 1 to $\frac{sin2\alpha}{sin2\alpha}$

∴ L.S = $\frac{1}{sin2\alpha}$ + $\frac{sin2\alpha}{sin2\alpha}$

→ The denominators are equal, then add the numerators

∴ L.S = $\frac{1+sin2\alpha}{sin2\alpha}$

∵ R. S = $\frac{(sin\alpha+cos\alpha)^{2} }{sin2\alpha}$

∵ (sinα + cosα)² = sin²α + 2 sinα cosα + cos²α

∴ (sinα + cosα)² = sin²α + cos²α + 2 sinα cosα

→ By using the 1st rule above, equate sin²α + cos²α by 1

∴ (sinα + cosα)² = 1 + 2 sinα cosα

→ By using the 2nd rule above, equate 2 sinα cosα by sin2α

∴ (sinα + cosα)² = 1 + sin2α

→ Substitute it in the R.S above

∴ R. S = $\frac{1+sin2\alpha}{sin2\alpha}$

∵ L.S = R.S

∴ csc 2α + 1 = $\frac{(sin\alpha+cos\alpha)^{2} }{sin2\alpha}$

4 0

3 years ago